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Simplifying 232 + -162k = -36 + -6(28 + -40n) 232 + -162k = -36 + (28 * -6 + -40n * -6) 232 + -162k = -36 + (-168 + 240n) Combine like terms: -36 + -168 = -204 232 + -162k = -204 + 240n Solving 232 + -162k = -204 + 240n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-232' to each side of the equation. 232 + -232 + -162k = -204 + -232 + 240n Combine like terms: 232 + -232 = 0 0 + -162k = -204 + -232 + 240n -162k = -204 + -232 + 240n Combine like terms: -204 + -232 = -436 -162k = -436 + 240n Divide each side by '-162'. k = 2.691358025 + -1.481481481n Simplifying k = 2.691358025 + -1.481481481n
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